Wiman-Valiron theory in two variables

Fenton, P. C.

doi:10.1090/S0002-9947-1995-1308010-X

Wiman-Valiron theory in two variables
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by P. C. Fenton PDF

Trans. Amer. Math. Soc. 347 (1995), 4403-4412 Request permission

Abstract:

Inequalities are obtained for the coefficients of the Taylor series of an entire function of two complex variables and used to obtain an inequality for the maximum modulus of the function in terms of the maximum term of the series.

References

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Wiman-Valiron theory for entire functions of several complex variables

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Lectures on the general theory of integral functions